I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
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Yes and no. If you spend that infinite money, then yes. The currency would be massively devalued as you would be adding money into the economy.
If you sat on it, nothing would happen. I imagine that the Federal Bank doesn't know about your infinite stash and therefore isn't taking into account any equation.
So, the value is inversely correlated to the ability to spend it.
... Still sounds worthless, TBH.